A statement is given followed by four conclusions numbered I, II, III and IV.…
2023
A statement is given followed by four conclusions numbered I, II, III and IV. Assuming the statement to be true, decide which of the conclusions is/are definitely true. Statement: C = R > D ≤ E = K > P Conclusions: I. C > D II. K < D III. P < E IV. E ≥ R
- A.
Only conclusions I and III are true.
- B.
Only conclusions II and IV are true
- C.
Only conclusion IV is true
- D.
Only conclusions I and II are true
Attempted by 115 students.
Show answer & explanation
Correct answer: A
Given: C = R > D ≤ E = K > P
Step-by-step reasoning:
C > D — True. Because C = R and R > D, we have C > D.
K < D — Not necessarily true. Since E = K and D ≤ E, K could be equal to D (for example, D = E = K), so K < D is not guaranteed.
P < E — True. From K = E and K > P we get E > P, so P < E.
E ≥ R — Not necessarily true. R > D and D ≤ E do not compare R and E directly; E could be less than R. Example: R = 5, D = 3, E = 3 gives E < R.
Answer: Only C > D and P < E are definitely true.